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Finding the Fourth Proportional to 565.20, 842.31 and 552.87

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Solution

The fourth proportional to 565.20, 842.31 and 552.87 is: 823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 842.31 = 552.87 : x
  2. Step 2: Convert to fraction form
    565.20/842.31 = 552.87/x
  3. Step 3: Cross multiply
    565.20x = 842.31 × 552.87
  4. Step 4: Simplify right side
    565.20x = 465,687.93
  5. Step 5: Solve for x
    x = 465,687.93/565.20
  6. Step 6: Final answer
    x = 823.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.